If ax2/3 + bx1/3 + c = 0 then the value of a3x2 + b3x + c3 is given by
Answers
Answered by
18
Topic
Polynomials
Solution
We observe that,
and,
.
We are going to use the fact that,
- if or .
The calculation is as follows.
More information
The identity states the value of is zero when . Furthermore, we see that , if are real numbers, the squares of real numbers are restricted to zero or positive. So, the second factor becomes zero when .
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